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Published December 19, 2003 | public
Journal Article Open

Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry


The shot-noise detection limit in current high-precision magnetometry [I. Kominis, T. Kornack, J. Allred, and M. Romalis, Nature (London) 422, 596 (2003)] is a manifestation of quantum fluctuations that scale as 1/root-N in an ensemble of N atoms. Here, we develop a procedure that combines continuous measurement and quantum Kalman filtering [V. Belavkin, Rep. Math. Phys. 43, 405 (1999)] to surpass this conventional limit by exploiting conditional spin squeezing to achieve 1/N field sensitivity. Our analysis demonstrates the importance of optimal estimation for high bandwidth precision magnetometry at the Heisenberg limit and also identifies an approximate estimator based on linear regression.

Additional Information

©2003 The American Physical Society. Received 27 June 2003; published 19 December 2003. This work was supported by the NSF (PHY-9987541, EIA-0086038), by the ONR (N00014-00-1-0479), and by the Caltech MURI Center for Quantum Networks (DAAD19-00-1-0374).


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